PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xandra and Ethan each bought two books at the sale.
- Xandra's books were priced at $10 and $16. How much more did she pay for the 1st book than the 2nd book?
- Ethan paid a total of $46.05 for his two books. He paid $8.35 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $16 |
100% $10 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 16
=
80100 x 16
= $12.80
Selling price of 2nd book
= 65% x 10
=
65100 x 10
= $6.50
Amount that Xandra paid more for the 1st book than the 2nd book
= 12.80 - 6.50
= $6.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.35 |
1 u |
$46.05 |
(b)
Sale price of the 1st book = 1 u + 8.35
Sale price of the 2nd book = 1 u
Total amount that Ethan paid
= 1 u + 8.35 + 1 u
= 2 u + 8.35
2 u + 8.35 = 46.05
2 u = 46.05 - 8.35
2 u = 37.70
1 u = 37.70 ÷ 2 = 18.85
Sale price of the 1st book
= 1 u + 8.35
= $27.20
80% of the price = $27.20
100% of the price =
27.2080 x 100 = $34
Selling price of the 1st book before discount = $34
Answer(s): (a) $6.30; (b) $34